Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
316 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#15667947 | C2 | semidirect |
| 3. #19151604 | C2 | semidirect |
| 4. #19151603 | C2 | semidirect |
| 5. C2×#15667928 | C2 | semidirect |
| 6. #19151556 | C2 | semidirect |
| 7. C2×#100×C89 | C2 | semidirect |
| 12. C2×#13083559 | C4 | semidirect |
| 112. C89 | #1978 | semidirect |
| 118. C2×#100 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083559 | 2 |
| C2×#15667947 | 2 |
| #19151604 | 2 |
| #19151603 | 2 |
| C2×#15667928 | 2 |
| #19151556 | 2 |
| C2×#100×C89 | 2 |
| #1978 | 89 |